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Finding the Fourth Proportional to 1,921.46, 2,649.84 and 1,425.34

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Solution

The fourth proportional to 1,921.46, 2,649.84 and 1,425.34 is: 1,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.46 : 2,649.84 = 1,425.34 : x
  2. Step 2: Convert to fraction form
    1,921.46/2,649.84 = 1,425.34/x
  3. Step 3: Cross multiply
    1,921.46x = 2,649.84 × 1,425.34
  4. Step 4: Simplify right side
    1,921.46x = 3,776,909.70
  5. Step 5: Solve for x
    x = 3,776,909.70/1,921.46
  6. Step 6: Final answer
    x = 1,965.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.